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816334524 = 223421111941
BaseRepresentation
bin110000101010000…
…100011010111100
32002220002002110000
4300222010122330
53132440201044
6213000514300
726141505015
oct6052043274
92086062400
10816334524
11389888235
121a947b990
13100181aa5
147a5bc00c
154ba01d69
hex30a846bc

816334524 has 60 divisors (see below), whose sum is σ = 2144353288. Its totient is φ = 270799200.

The previous prime is 816334517. The next prime is 816334553. The reversal of 816334524 is 425433618.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62394 + ... + 74334.

Almost surely, 2816334524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816334524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072176644).

816334524 is an abundant number, since it is smaller than the sum of its proper divisors (1328018764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

816334524 is a wasteful number, since it uses less digits than its factorization.

816334524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12168 (or 12157 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 816334524 is about 28571.5684553719. The cubic root of 816334524 is about 934.5934248015.

The spelling of 816334524 in words is "eight hundred sixteen million, three hundred thirty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 211 324 422 633 844 1266 1899 2532 3798 5697 7596 11394 11941 17091 22788 23882 34182 35823 47764 68364 71646 107469 143292 214938 322407 429876 644814 967221 1289628 1934442 2519551 3868884 5039102 7558653 10078204 15117306 22675959 30234612 45351918 68027877 90703836 136055754 204083631 272111508 408167262 816334524